Understand and use the definitions of sine, cosine and tangent for all arguments
Understand and use the sine and cosine rules and be competent with calculating the area of a triangle using 1/2absinC;
Work with radian measure including the use for arc length and the area of a sector;
Understand and use the standard small angle approximations;
Understand and use the sine, cosine and tangent functions; their graphs, symmetries and periodicity;
Know and use exact values of sin and cos for 0, π/6, π/4, π/3, π/2, π and multiples thereof;
Know and use exact values of tan for 0, π/6, π/4, π/3, π and multiples thereof;
Understand and use the definitions of secant, cosecant and cotangent and of arcsin, arccos, and arctan; their relationships to sine, cosine and tangent; understanding of their graphs, their ranges and domains;
Understand and use (tan θ) ≡ (sin θ/cos θ);
Understand and use (sin^2 θ + cos^2 θ) ≡ 1;
Understand and use (sec^2 θ) ≡ (1 + tan^2 θ);
Understand and use (cosec^2 θ) ≡ (1 + cot^2 θ);
Understand and use the double angle formula; use of formulae for sin(A±B), cos(A±B) and tan(A±B); understand geometric proofs of these formulae;
Understand and use expressions for acosθ + bcosθ in the equivalent forms of rcos(θ ± α) or rsin(θ ± α);
Solve simple trigonometric equations in a given interval, including quadratic equations in sin, cos and tan and equations involving multiples of the unknown angle;
Construct proofs involving trigonometric functions and identities;
Use trigonometric functions to solve problems in context, including problems involving vectors, kinematics and forces.
